diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000..94e8e06 Binary files /dev/null and b/.DS_Store differ diff --git a/examples/demo_zeropi.ipynb b/examples/demo_zeropi.ipynb index 1c93b69..6d90425 100644 --- a/examples/demo_zeropi.ipynb +++ b/examples/demo_zeropi.ipynb @@ -12,9 +12,16 @@ "---" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Set up Matplotlib for plotting into notebook, and import scqubits and numpy:" + ] + }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2020-03-27T13:04:04.721293Z", @@ -28,30 +35,38 @@ }, "outputs": [], "source": [ - "%matplotlib inline\n", - "%config InlineBackend.figure_format = 'svg'\n", - "\n", "import numpy as np\n", "import scqubits as scq" ] }, { + "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ - "# zero-pi qubit (decoupled from zeta-mode)" + "# $0$-$\\pi$ qubit (decoupled from $\\zeta$-mode)" ] }, { + "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ - "$H=-2E_\\text{CJ}\\partial_\\phi^2+2E_{\\text{C}\\Sigma}(i\\partial_\\theta-n_g)^2-2E_\\text{J}\\cos\\theta\\cos(\\phi-\\varphi_\\text{ext}/2)+E_L\\phi^2+2E_\\text{J} +2E_{C\\Sigma}dC_J\\,\\partial_\\phi\\partial_\\theta + E_J dE_J \\sin\\theta\\sin(\\phi-\\phi_\\text{ext}/2)$" + "The ideal $0$-$\\pi$ circuit has an identical pair of capacitors, an identical pair of linear inductors and an identical pair of Josephson junctions (including paracitic capacitances). The circuit has three modes: a transmon-like $\\theta$-mode, a fluxonium-like $\\phi$-mode and a spurious harmonic oscillator $\\zeta$-mode. When is no disorder (asymmetry) in the capacitor pairs or the inductor pairs, the $\\zeta$-mode is decoupled from the rest two. When the small disorder in the junction capacitances and junction energies are taken into account in first order, the Hamiltonian for the $0$-$\\pi$ circuit decoupled from the $\\zeta$-mode is\n", + "\\begin{align*}\n", + "H_{\\phi,\\theta}&=-2E_\\text{CJ}\\partial_\\phi^2+2E_{\\text{C}\\Sigma}(i\\partial_\\theta-n_g)^2-2E_\\text{J}\\cos\\theta\\cos(\\phi-\\varphi_\\text{ext}/2)+E_L\\phi^2+2E_\\text{J} \\\\\n", + "&+2E_{C\\Sigma}dC_J\\,\\partial_\\phi\\partial_\\theta + E_J dE_J \\sin\\theta\\sin(\\phi-\\phi_\\text{ext}/2),\n", + "\\end{align*}\n", + "where $\\varphi_{\\text{ext}} = 2\\pi\\Phi_{\\text{ext}}/\\Phi_0$ is the reduced external magnetic flux, the diorder of parasitic capacitances and junction energies are defined as $dC_J = 2(C_{J1} - C_{J2})/(C_{J1}+C_{J2})$ and $dE_J = 2(E_{J1} - E_{J2})/(E_{J1}+E_{J2})$.\n", + "\n", + "
\n", + "\n", + "**Creation via GUI** (ipywidgets needs to be installed for this to work.)" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2020-03-27T13:04:05.513875Z", @@ -62,7 +77,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "52b838faf6db4771a6e9f94f695622d1", + "model_id": "272ebf4df0a5423f8dc35aaafc756be9", "version_major": 2, "version_minor": 0 }, @@ -76,7 +91,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "dc7e8efa167241e192f053a2a75faee8", + "model_id": "c01e02e4e1234a458314feff3780aaae", "version_major": 2, "version_minor": 0 }, @@ -93,15 +108,18 @@ ] }, { + "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ - "Diagonlization of zero-pi proceeds in a hybrid basis, using charge basis for $\\theta$ and discretization over a final interval for $\\phi$. (The latter explains the need for providing grid parameters.)" + "**Programmatic creation**\n", + "\n", + "The diagonlization of $0$-$\\pi$ proceeds in a hybrid basis, using the charge basis for $\\theta$ and discretization over an interval for $\\phi$. (The latter explains the need for providing grid parameters.)" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2020-03-27T12:55:37.604003Z", @@ -111,7 +129,8 @@ "outputs": [], "source": [ "zero_pi = scq.ZeroPi(\n", - " grid = scq.Grid1d(-6*np.pi, 6*np.pi, 200),\n", + " # reminder: the parameters for generating a 1D grid are (min_value, max_value, num_grid_points)\n", + " grid = scq.Grid1d(-6*np.pi, 6*np.pi, 200), \n", " EJ = 10.0,\n", " EL = 0.04,\n", " ECJ = 20.0,\n", @@ -124,19 +143,14 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "ExecuteTime": { - "end_time": "2020-03-27T13:04:09.028466Z", - "start_time": "2020-03-27T13:04:09.021450Z" - } - }, + "execution_count": 23, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "ZeroPi--------------|\n", + "ZeroPi--------------| [ZeroPi_4]\n", " | EJ: 10.0\n", " | EL: 0.04\n", " | ECJ: 20.0\n", @@ -157,19437 +171,70 @@ "print(zero_pi)" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Just like other qubits implemented in scqubits, parameters of $0$-$\\pi$ can be modified by either assigning values to the corresponding attributes, or through modifying values in the above GUI." + ] + }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "ExecuteTime": { - "end_time": "2020-02-07T03:22:25.523435Z", - "start_time": "2020-02-07T03:22:25.274049Z" - } - }, + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "zero_pi.flux = 0.31" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "An interesting alternative way to specify capacitive energies is to provide $E_{CJ}$ and $E_{C\\Sigma}$ (the latter corresponds to the optional argument `ECS`) during the initialization. The $E_C$ value can also be changed by providing an $E_{C\\Sigma}$ value in the following way:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, "outputs": [ { "data": { - "image/svg+xml": [ - "\r\n", - "\r\n", - "\r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " 2021-07-06T06:42:30.468385\r\n", - " image/svg+xml\r\n", - " \r\n", - " \r\n", - " Matplotlib v3.3.4, https://matplotlib.org/\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n" - ], "text/plain": [ - "
" + "0.04008016032064128" ] }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "### Potential energy for symmetric 0-$\\pi$ qubit\n", - "zero_pi.plot_potential();" + "zero_pi.set_EC_via_ECS(0.04)\n", + "zero_pi.EC" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Computing and plotting eigenenergies and wavefunctions" ] }, { + "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ - "### Eigenenergies" + "**Eigenenergies.** Similar to other qubits, eigenvalue computations and parameter sweeps can be performed using the following methods:" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2020-02-07T03:18:47.984128Z", @@ -19598,23 +245,22 @@ { "data": { "text/plain": [ - "array([17.0014342 , 17.02182808, 18.1214257 , 18.13868249, 18.72196777,\n", - " 18.93031195, 19.16309846, 19.17777943, 19.92663351, 20.0898962 ])" + "array([17.00199548, 17.02238769, 18.12303267, 18.14028472, 18.72257217,\n", + " 18.93090846, 19.16555977, 19.18024366, 19.92838159, 20.0925804 ])" ] }, - "execution_count": 6, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "zero_pi.flux = 0.31\n", "zero_pi.eigenvals(evals_count=10)" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2020-02-07T03:19:42.994539Z", @@ -19625,12 +271,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "", + "model_id": "91df4bdf1cd94dc683bced2cd0995a1b", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "HBox(children=(HTML(value='Spectral data'), FloatProgress(value=0.0, max=27.0), HTML(value='')))" + "Spectral data: 0%| | 0/27 [00:00\r\n", - "\r\n", - "\r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " 2021-07-06T06:42:53.119401\r\n", - " image/svg+xml\r\n", - " \r\n", - " \r\n", - " Matplotlib v3.3.4, https://matplotlib.org/\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n" - ], "text/plain": [ - "
" + "(
,\n", + " )" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "application/pdf": "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\n", + "image/svg+xml": "\n\n\n \n \n \n \n 2023-04-24T12:19:11.990759\n image/svg+xml\n \n \n Matplotlib v3.5.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "text/plain": [ + "
" ] }, "metadata": { @@ -20734,617 +309,117 @@ ], "source": [ "flux_list = np.linspace(0, 1, 27)\n", - "zero_pi.plot_evals_vs_paramvals('flux', flux_list, evals_count=8);" + "zero_pi.plot_evals_vs_paramvals(param_name='flux', param_vals=flux_list, evals_count=8)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Matrix elements.** Similar to other qubits, matrix elements can be obtained and visualized as follows:" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 29, "metadata": {}, "outputs": [ { "data": { - "image/svg+xml": [ - "\r\n", - "\r\n", - "\r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " 2021-07-06T06:42:55.087854\r\n", - " image/svg+xml\r\n", - " \r\n", - " \r\n", - " Matplotlib v3.3.4, https://matplotlib.org/\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n" - ], "text/plain": [ - "
" + "array([[-9.99999988e-02, -9.08155057e-06, -1.87089570e+00,\n", + " -7.30546369e-03, 4.15189011e-06, 2.86984696e-08],\n", + " [-9.08155057e-06, -1.00000001e-01, -7.32661152e-03,\n", + " 1.86834885e+00, -4.92300440e-09, -9.44249251e-06],\n", + " [-1.87089570e+00, -7.32661152e-03, -9.99969195e-02,\n", + " -4.23068292e-04, -1.11223943e-05, -8.48295183e-02],\n", + " [-7.30546369e-03, 1.86834885e+00, -4.23068292e-04,\n", + " -1.00003433e-01, -2.67073860e-02, -8.42335338e-04],\n", + " [ 4.15189011e-06, -4.92300441e-09, -1.11223943e-05,\n", + " -2.67073860e-02, -9.99999966e-02, 7.37293731e-07],\n", + " [ 2.86984696e-08, -9.44249251e-06, -8.48295183e-02,\n", + " -8.42335338e-04, 7.37293731e-07, -9.99999360e-02]])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "zero_pi.matrixelement_table(operator=\"n_theta_operator\")" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(
, (, ))" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "application/pdf": "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\n", + "image/svg+xml": "\n\n\n \n \n \n \n 2023-04-24T12:19:15.108299\n image/svg+xml\n \n \n Matplotlib v3.5.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "zero_pi.plot_matrixelements(operator='n_theta_operator', evals_count=10)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "7d9f0d4439a340e4b34515048437cb0d", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Spectral data: 0%| | 0/27 [00:00,\n", + " )" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "application/pdf": "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\n", + "image/svg+xml": "\n\n\n \n \n \n \n 2023-04-24T12:19:43.957802\n image/svg+xml\n \n \n Matplotlib v3.5.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "text/plain": [ + "
" ] }, "metadata": { @@ -21354,12 +429,43 @@ } ], "source": [ - "fig, ax = zero_pi.plot_wavefunction(which=0, mode='real', zero_calibrate=True);" + "zero_pi.plot_matelem_vs_paramvals(operator='n_theta_operator', param_name='flux', param_vals=flux_list)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot wavefunctions.** " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "application/pdf": "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\n", + "image/svg+xml": "\n\n\n \n \n \n \n 2023-04-24T12:19:45.515545\n image/svg+xml\n \n \n Matplotlib v3.5.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = zero_pi.plot_wavefunction(which=0, mode='real', zero_calibrate=True)" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2016-08-14T10:44:42.893578", @@ -21369,607 +475,63 @@ "outputs": [ { "data": { - "image/svg+xml": [ - "\r\n", - "\r\n", - "\r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " 2021-01-28T06:54:51.173915\r\n", - " image/svg+xml\r\n", - " \r\n", - " \r\n", - " Matplotlib v3.3.2, https://matplotlib.org/\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n" - ], "text/plain": [ - "
" + "(
,\n", + " )" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "application/pdf": "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\n", + "image/svg+xml": "\n\n\n \n \n \n \n 2023-04-24T12:19:47.058371\n image/svg+xml\n \n \n Matplotlib v3.5.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "zero_pi.plot_wavefunction(which=1, mode='real', zero_calibrate=True)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Visualizing potentials.**" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(
,\n", + " )" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "application/pdf": "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\n", + "image/svg+xml": "\n\n\n \n \n \n \n 2023-04-24T12:17:34.537055\n image/svg+xml\n \n \n Matplotlib v3.5.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "text/plain": [ + "
" ] }, "metadata": { @@ -21979,25 +541,44 @@ } ], "source": [ - "zero_pi.plot_wavefunction(which=1, mode='real', zero_calibrate=True);" + "zero_pi.plot_potential()" ] }, { + "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ - "# Full zero-pi qubit (incl. zeta-mode)" + "# Full $0$-$\\pi$ qubit (incl. $\\zeta$-mode)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When there is disorder in the capacitor pairs and/or the inductor pairs, the $\\zeta$-mode couples to $\\theta$ and/or $\\phi$-mode. To accurately obtain spectral properties of such circuit, all three modes need to be taken into account. Taking all the disorder into account in the first order, the Hamiltonian for the full $0$-$\\pi$ circuit is:\n", + "\\begin{align*}\n", + "H&= H_{\\theta,\\phi} + H_{\\zeta} + H_{\\text{int}},\\\\\n", + "H_{\\zeta}&= \\omega_\\zeta a^\\dagger a,\\\\\n", + "H_{\\text{int}}&= 2E_{\\text C \\Sigma } dC \\partial_\\theta \\partial_\\eta + E_{\\text L} dE_{\\text L} \\phi\\zeta,\n", + "\\end{align*}\n", + "where disorder in the capacitors and the inductors are defined as $dC = 2(C_{1} - C_{2})/(C_{1}+C_{2})$ and $dL = 2(L_{1} - L_{2})/(L_{1}+L_{2})$.\n", + "\n", + "
\n", + "\n", + "**Creation via GUI** (ipywidgets needs to be installed for this to work.)" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "c44000aa3d9a4e83af11eb126ffd5a21", + "model_id": "5db50ddfdbe149deabcfc988abb80e24", "version_major": 2, "version_minor": 0 }, @@ -22011,7 +592,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "7b117b0aa347499b90ca6508b162d060", + "model_id": "7dbef60d269244d79a3d544064252638", "version_major": 2, "version_minor": 0 }, @@ -22029,14 +610,14 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "FullZeroPi----------|\n", + "FullZeroPi----------| [FullZeroPi_1]\n", " | EJ: 10.0\n", " | EL: 0.04\n", " | ECJ: 20.0\n", @@ -22062,11 +643,16 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "Notice that four basis cutoffs need to be specified: `ncut`, `zeropi_cutoff`, `zeta_cutoff` and `grid`. The full circuit is treated as a composite system made by subsystems with Hamiltonians $H_{\\theta, \\phi}$ and $H_\\zeta$, and their interactions $H_{\\text{int}}$. The diagonalization of the full $0$-$\\pi$ is carried out using hierarchical diagonalization with the following steps: \n", + "1. The symmetric $0$-$\\pi$ Hamiltonian $H_{\\theta,\\phi}$ is diagonalized using the hybrid basis; the basis is specified using `ncut` and `grid`.\n", + "2. The $\\zeta$-mode Hamiltonian $H_{\\zeta}$ is a harmonic oscillator Hamiltonian; its spectrum is obtained directly without performing numerical diagonalization.\n", + "3. From the resulting lowest energy eigenstates of $H_{\\theta,\\phi}$ and $H_\\zeta$, the lowest `zeropi_cutoff` and `zeta_cutoff` energy eigenstates of the respective subsystems are kept. A basis for the full circuit is obtained by taking tensor products of these subsystem eigenstates. \n", + "4. The full circuit Hamiltonian $H$ is represented under the above basis and diagonalized." + ] } ], "metadata": { @@ -22086,7 +672,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.10.6" }, "pycharm": { "stem_cell": {